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A note on groups covered by conjugates of a proper subgroup
- Source :
-
Journal of Algebra . Nov2012, Vol. 370, p171-175. 5p. - Publication Year :
- 2012
-
Abstract
- Abstract: In this paper we prove that if G is a group which is the union of the conjugates of a finite subgroup H, then we have if , or H is a generalized dihedral group. This result extends Theorem 3 of Cutolo et al. (2005) proved only in the case . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 370
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 79877875
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2012.08.001